Uh, no. I think you misunderstood. In a plane with no logs, well, just figuring out whether the work has been done will require crawling around the airplane, and maybe replacing stuff that's already been replaced. You don't have a log to review to confirm compliance
For things like inspection ADs, that work will have to be done, even if it had been in the past because there is no proof. With this airplane you'll be reinventing a lot of wheels.
That may be ok for a bottom-feeder buyer, or someone who is an A&P, but for Joe Pilot it's a pain in the azz not worth pursuing with so many other airplanes of known provenance on the market.
You seem to think we can depend upon the log to tell us if the work has been completed, This is a risky thing to do, I find many ADs that are not completed correctly. and many that do not have the proper sign offs in the logs.
The first Time I do an annual I check every AD and insure that it is entered properly.
So doing the annual properly on any aircraft that has no logs would be no different that doing the first annual on an aircraft that I have never seen before.
You make a proper inventory, make model & serial number of every component installed.
Run the AD list and find every AD that pertains to all the accessories airframe and engine.
Check that list against the Equipment list for that Aircraft. and the Type certificate. If you don't have the Equipment list Piper or Cessna can provide.
When you find that you have equipment that is installed that is not on the equipment list, you need to determine if a 337 is needed, if so the FAAs records may show the missing paper work, If not you must get a field approval or the STC for it.
If you find that you don't have the equipment that must be installed the same thing must be done.
Really, doing the annual on any aircraft that has no logs is no different than doing an Annual on any aircraft that you have never seen before.
That is, unless you trust the logs to be correct. I don't, because I have seen too many that were not.